Yes there are 3rd party programs installed. MS-DOS is NOT one of them.
What program did you use the add the arrows ?

MSPaint. It's been in a number of versions of Windows, still is in Start, W section, Windows Accessories.

MS-DOS was Microsoft's iteration of the Disk Operating System, there were others "back in the day", '80s and '90s such as IBM-DOS, PC-DOS, DR-DOS, etc. Windows 95 was the beginning of merging DOS with the GUI/Graphical User Interface, also called WYSIWYG/What You See Is What You Get, that was Windows 3.xx and earlier that was installed after DOS. Used to be one could boot directly into DOS instead of loading the GUI of Windows. Now it's the Command Prompt or PowerShell. A large number of DOS commands still work in Command Prompt.

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I don't know when it first started up. The Context Menu had got so congested that I decided to clear it out and the MS-DOS prompt entry was the last superfluous entry that resisted removal. I have NOT tried a system restore, and will not either, because I am forever enhancing the system and do not want to loose THOSE successful tweaks.
I started the inquiry in another forum because it seemed to me that the solution was evading me in THIS forum.

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How to remove 'Open MS-DOS prompt' from folder Context Menu in Wir? 0

Here's hoping.

The other forum that you chided me about approaching, had the solution. I deliberately triggered the addition of 'Open MS-DOS Prompt' to the Context Menu, by installing (some time in the distant past) the program CLICKIE.

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